As a basic application of the relation (REF ), we now check if the Skyrme pseudo-potential [1]} fulfills the constraint given above. For example, the \(D^{[4]}\) -term in the single-nucleon potential [1]} reads as
\(\frac{D^{[4]}}{16}\left[\frac{k_{\mathrm {F}}^3|\mathbf {k}|^4}{3\pi ^2}\cdot (1+\tau _3^J\delta )+\frac{2k_{\mathrm {F}}^5|\mathbf {k}|^2}{3\pi ^2}\cdot (1+\tau _3^J\delta )^{5/3}+\frac{k_{\mathrm {F}}^7}{7\pi ^2}\cdot (1+\tau _3^J\delta )^{7/3}\right],\) 
